In this paper we characterize those uninorms which are rational functions (i.e., quotients of two polynomials). These are closely related to the wellknown parametric families of t-norms and t-conorms studied and characterized by Hamacher [8].

In this paper, optimization of a linear objective function with fuzzy relational inequality constraints is investigated where the feasible region is formed as the intersection of two inequality fuzzy systems and Hamacher family of t-norms is considered as fuzzy composition. Hamacher family of t-norms is a parametric family of continuous strict t-norms, whose members are decreasing functions of ...

In many-valued logics with the unit interval as the set of truth values, from the standard negation and the product (or, more generally, from any strict Frank t-norm) all measurable logical functions can be derived, provided that also operations with countable arity are allowed. The question remained open whether there are other t-norms with this property or whether all strict t-norms possess t...

The diagnosed complex Pythagorean fuzzy (CPF) set is a more valuable and dominant tool than the intuitionistic sets to describe awkward unreliable information effectively. Further, Archimedean t-norm t-conorm have significant influence depict relation among aggregated values. To take advantage of CPF t-conorm, assume norms algebraic, Einstein, Hamacher, frank at same time, in this analysis, fir...

The interval-valued intuitionistic fuzzy set (IVIFS) which is an extension of the Atanassov’s intuitionistic fuzzy set is a powerful tool for modeling real life decision making problems. In this paper, we propose the emph{generalized interval-valued intuitionistic fuzzy Hamacher generalized Shapley Choquet integral} (GIVIFHGSCI) and the emph{interval-valued intuitionistic fuzzy Hamacher general...

Patrick Boba, Dominik Bollmann, Daniel Schoepe, Nora Wester, Jan Wiesel and Kay Hamacher* 1 Computational Biology and Simulation, Department of Biology, Technical University Darmstadt, Darmstadt, Germany 2 Department of Computer Science, Technical University Darmstadt, Darmstadt, Germany 3 Department of Physics, Technical University Darmstadt, Darmstadt, Germany 4 Center for Advanced Security R...

The information aggregation of cubic fuzzy numbers and picture have played an important role in decision making. This paper introduces a novel approach to address the problem testing facility COVID-19 under environment. As set is generalized structure handle more uncertainty ambiguity making problems We discuss its various properties. Based on geometric operators Hamacher operations, we introdu...

We introduce the notion of interval-valued linear Diophantine fuzzy set, which is a generalized model for providing more accurate information, particularly in emergency decision-making, with help intervals membership grades and non-membership grades, as well reference parameters that provide freedom to decision makers analyze multiple objects alternatives universe. The accuracy numbers analyzed...

A Fermatean fuzzy set is a more powerful tool to deal with uncertainties in the given information as compared intuitionistic and Pythagorean has energetic applications decision-making. Aggregation operators are very helpful for assessing alternatives decision-making process, their purpose integrate all individual evaluation values into unified form. In this research article, some new aggregatio...

Archimedean t-conorm and t-norm are generalizations of a lot of other t-conorms and t-norms, such as Algebraic, Einstein, Hamacher and Frank t-conorms and t-norms or others, and some of them have been applied to intuitionistic fuzzy set, which contains three functions: the membership function, the nonmembership function and the hesitancy function describing uncertainty and fuzziness more object...